Even Sets of Lines on Quartic Surfaces
نویسنده
چکیده
5 Classification 10 5.1 Two lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.2 Four lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.3 Six lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.4 Eight lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.5 Ten lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
منابع مشابه
On the Néron-severi Group of Surfaces with Many Lines
For a binary quartic form φ without multiple factors, we classify the quartic K3 surfaces φ(x, y) = φ(z, t) whose Néron-Severi group is (rationally) generated by lines. For generic binary forms φ, ψ of prime degree without multiple factors, we prove that the Néron-Severi group of the surface φ(x, y) = ψ(z, t) is rationally generated by lines.
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